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1375324288 = 27135471511
BaseRepresentation
bin101000111111001…
…1100100010000000
310112211220201020121
41101332130202000
510304040334123
6344245550024
746040030542
oct12176344200
93484821217
101375324288
11646375548
12324715314
1318bc1c070
14d092b692
1580b1d75d
hex51f9c880

1375324288 has 64 divisors (see below), whose sum is σ = 2958016320. Its totient is φ = 633185280.

The previous prime is 1375324273. The next prime is 1375324309. The reversal of 1375324288 is 8824235731.

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 909453 + ... + 910963.

It is an arithmetic number, because the mean of its divisors is an integer number (46219005).

Almost surely, 21375324288 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1375324288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1479008160).

1375324288 is an abundant number, since it is smaller than the sum of its proper divisors (1582692032).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1375324288 is a wasteful number, since it uses less digits than its factorization.

1375324288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2085 (or 2073 counting only the distinct ones).

The product of its digits is 322560, while the sum is 43.

The square root of 1375324288 is about 37085.3648761880. The cubic root of 1375324288 is about 1112.0774578137.

The spelling of 1375324288 in words is "one billion, three hundred seventy-five million, three hundred twenty-four thousand, two hundred eighty-eight".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 128 208 416 547 832 1094 1511 1664 2188 3022 4376 6044 7111 8752 12088 14222 17504 19643 24176 28444 35008 39286 48352 56888 70016 78572 96704 113776 157144 193408 227552 314288 455104 628576 826517 910208 1257152 1653034 2514304 3306068 6612136 10744721 13224272 21489442 26448544 42978884 52897088 85957768 105794176 171915536 343831072 687662144 1375324288